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<div class="title">strongconnectedcomponent.h</div>  </div>
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<a href="strongconnectedcomponent_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment"> * Copyright 2016- huaxz &lt;huaxz1986@163.com&gt;</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> * This program is free software: you can redistribute it and/or modify</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> * it under the terms of the GNU General Public License as published by</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment"> * the Free Software Foundation, either version 2 of the License, or</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment"> * (at your option) any later version.</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment"> * This program is distributed in the hope that it will be useful,</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment"> * but WITHOUT ANY WARRANTY; without even the implied warranty of</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment"> * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment"> * GNU General Public License for more details.</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment"> * You should have received a copy of the GNU General Public License</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment"> * along with this program.  If not, see &lt;http://www.gnu.org/licenses/&gt;.</span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment"> * Author: huaxz1986@163.com (huaxz)</span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment"> */</span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#ifndef STRONGCONNECTEDCOMPONENT</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#define STRONGCONNECTEDCOMPONENT</span></div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include&quot;../graph_dfs/dfs.h&quot;</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include&lt;set&gt;</span></div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespace_introduction_to_algorithm.html">IntroductionToAlgorithm</a></div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;{</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">namespace </span>GraphAlgorithm</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    {        </div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
<div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="namespace_introduction_to_algorithm_1_1_graph_algorithm.html#a6d058c2aaa8714778b3f2ab8a24ff232">   48</a></span>&#160;        <span class="keyword">template</span>&lt;<span class="keyword">typename</span> GraphType&gt; <span class="keyword">const</span> std::vector&lt;std::vector&lt;typename GraphType::VIDType&gt;&gt; <a class="code" href="namespace_introduction_to_algorithm_1_1_graph_algorithm.html#a6d058c2aaa8714778b3f2ab8a24ff232">scc</a>(std::shared_ptr&lt;GraphType&gt; graph)</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        {</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;            <span class="keyword">typedef</span> <span class="keyword">typename</span> GraphType::VIDType VIDType;</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;            <span class="keywordflow">if</span>(!graph)</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;scc error: graph must not be nullptr!&quot;</span>);</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;            <span class="comment">//*********  原图的深度优先搜索 ***************</span></div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;            std::vector&lt;VIDType&gt; finished_order;</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;            <span class="keyword">auto</span> empty_action=[](VIDType v_id,<span class="keywordtype">int</span> time){};</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;            <span class="keyword">auto</span> finish_action=[&amp;finished_order](VIDType v_id,<span class="keywordtype">int</span> time){finished_order.insert(finished_order.begin(),v_id);}; <span class="comment">//完成时间逆序</span></div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;            <a class="code" href="namespace_introduction_to_algorithm_1_1_graph_algorithm.html#a9f44099f26242f50087b3cc16dff965f">depth_first_search</a>(graph,empty_action,finish_action);</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;            <span class="comment">//*********** 转置图的深度优先搜索*********</span></div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;            std::vector&lt;std::vector&lt;typename GraphType::VIDType&gt;&gt; result;</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;            <span class="keywordtype">int</span> current_root_id=-1;</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;            <span class="keyword">auto</span> pre_root_action=[&amp;result,&amp;current_root_id](VIDType v_id,<span class="keywordtype">int</span> time){result.push_back(std::vector&lt;typename GraphType::VIDType&gt;());current_root_id++;};<span class="comment">//遇到深度优先森林的树根，开启一个新的强连通分量</span></div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;            <span class="keyword">auto</span> pre_action=[&amp;result,&amp;current_root_id](VIDType v_id,<span class="keywordtype">int</span> time){result.at(current_root_id).push_back(v_id);}; <span class="comment">//将结点`id`添加到强连通分量中</span></div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;            <span class="keyword">auto</span> inverse_G=graph-&gt;inverse();</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;            <a class="code" href="namespace_introduction_to_algorithm_1_1_graph_algorithm.html#a9f44099f26242f50087b3cc16dff965f">depth_first_search</a>(inverse_G,pre_action,empty_action,pre_root_action,empty_action,finished_order);</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;            <span class="comment">//**********  剔除单根树 *************</span></div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;            std::vector&lt;std::vector&lt;typename GraphType::VIDType&gt;&gt; real_result;</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;            <span class="keywordflow">for</span>(<span class="keyword">const</span> <span class="keyword">auto</span>&amp; item:result)</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;                <span class="keywordflow">if</span>(item.size()&gt;1)</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;                    real_result.push_back(item);</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;            <span class="keywordflow">return</span> real_result;</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        }</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    }</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;}</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;<span class="preprocessor">#endif // STRONGCONNECTEDCOMPONENT</span></div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
<div class="ttc" id="namespace_introduction_to_algorithm_1_1_graph_algorithm_html_a9f44099f26242f50087b3cc16dff965f"><div class="ttname"><a href="namespace_introduction_to_algorithm_1_1_graph_algorithm.html#a9f44099f26242f50087b3cc16dff965f">IntroductionToAlgorithm::GraphAlgorithm::depth_first_search</a></div><div class="ttdeci">void depth_first_search(std::shared_ptr&lt; GraphType &gt; graph, std::function&lt; void(typename GraphType::VIDType, int)&gt; pre_action=[](typename GraphType::VIDType, int){}, std::function&lt; void(typename GraphType::VIDType, int)&gt; post_action=[](typename GraphType::VIDType, int){}, std::function&lt; void(typename GraphType::VIDType, int)&gt; pre_root_action=[](typename GraphType::VIDType, int){}, std::function&lt; void(typename GraphType::VIDType, int)&gt; post_root_action=[](typename GraphType::VIDType, int){}, const std::vector&lt; typename GraphType::VIDType &gt; &amp;search_order=std::vector&lt; typename GraphType::VIDType &gt;())</div><div class="ttdoc">depth_first_search：深度优先搜索，算法导论22章22.3节 </div><div class="ttdef"><b>Definition:</b> <a href="dfs_8h_source.html#l00138">dfs.h:138</a></div></div>
<div class="ttc" id="namespace_introduction_to_algorithm_1_1_graph_algorithm_html_a6d058c2aaa8714778b3f2ab8a24ff232"><div class="ttname"><a href="namespace_introduction_to_algorithm_1_1_graph_algorithm.html#a6d058c2aaa8714778b3f2ab8a24ff232">IntroductionToAlgorithm::GraphAlgorithm::scc</a></div><div class="ttdeci">const std::vector&lt; std::vector&lt; typename GraphType::VIDType &gt; &gt; scc(std::shared_ptr&lt; GraphType &gt; graph)</div><div class="ttdoc">scc：强连通分量，算法导论22章22.5节 </div><div class="ttdef"><b>Definition:</b> <a href="strongconnectedcomponent_8h_source.html#l00048">strongconnectedcomponent.h:48</a></div></div>
<div class="ttc" id="namespace_introduction_to_algorithm_html"><div class="ttname"><a href="namespace_introduction_to_algorithm.html">IntroductionToAlgorithm</a></div><div class="ttdoc">Namespace of IntrodunctionToAlgorithm. </div><div class="ttdef"><b>Definition:</b> <a href="longest__common__subsequence_8h_source.html#l00024">longest_common_subsequence.h:24</a></div></div>
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